Science, asked by geetapathrabe4, 5 hours ago

A steel wire with heavy mass suspended from it can cut through both the ice and wax blocks, but only the wax block is obtained in two pieces because___​

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Answered by Anonymous
4

Answer :

The original fraction is  \sf  \dfrac{23}{27}

Step by Step Explanation :

Let for the original fraction ;

Numerator be = x

As per the given condition - Denominator of the fraction is greater than and it's numerator by 4 therefore,

Denominator must be = x + 4

By Numerator and Denominator ,

Original Fraction is :  \rm\dfrac{x}{x+ 7}

 \large \bigstar When the numerator is increased by 7 and denominator is decreased by 2 ;

Fraction becomes :  \rm \dfrac{(x) + 7}{(x + 4) - 2}

Therefore,

New Fraction is :    \rm\dfrac{x + 7}{x + 2}

 \large \dashrightarrow According To Question ;

\Large \dag  \large \:  \:  \:  \underline{ \boxed{ \bf  \frac{x + 7}{x + 2}  =  \frac{6}{5} }} \\   \\

➡️ On cross multiplication :

 \\ :\longmapsto \rm 5(x + 7) = 6(x + 2) \\  \\

:\longmapsto \rm 5x + 35 = 6x + 12 \\  \\

:\longmapsto \rm 5x - 6x = 12 - 35 \\  \\

:\longmapsto \rm  \cancel - x =  \cancel - 23 \\  \\

\red{:\longmapsto \bf  \underbrace{\underline{ \blue{x = 23 }}}} \\  \\

As we assumed numerator as x so,

Numerator of original fraction = 23

As per the question denominator of the fraction is greater than and it's numerator by 4

\therefore \: Denominator = 23 + 4

Hence,

Denominator of original fraction = 27

Therefore,

Original Fraction is :  \sf  \dfrac{23}{27}

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